Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Yahoo!

  • one year ago

The x co-ordinate of a point on the curve 9y^2 = x^3 , the normal at which cuts off equal intercept on the axes is ?

  • This Question is Closed
  1. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    9y^2=x^3 d(9y^2)/dx =d(x^3)/dx 18y dy/dx =3x^2 dy/dx =x^2/(6y)

  2. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The gradient of tangent is x^2/(6y) So, gradient of normal is -6y/(x^2)

  3. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    NOW, let x-intercept of the normal be a then y-intercept is also a.

  4. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Gradient of normal = (a-0)/(0-a) -6y/(x^2) =-1

  5. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now,|dw:1359201825424:dw| and solve for x

  6. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1359201971611:dw|

  7. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    U need to solve that

  8. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1359202095063:dw|

  9. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    9y^2=x^3

  10. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -6y/(x^2) =-1......then wat did u do ?

  11. sauravshakya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Substitute y interms of x

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.